• Title/Summary/Keyword: nonlocal semilinear heat equation

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BLOW UP OF SOLUTIONS WITH POSITIVE INITIAL ENERGY FOR THE NONLOCAL SEMILINEAR HEAT EQUATION

  • Fang, Zhong Bo;Sun, Lu
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.16 no.4
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    • pp.235-242
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    • 2012

  • In this paper, we investigate a nonlocal semilinear heat equation with homogeneous Dirichlet boundary condition in a bounded domain, and prove that there exist solutions with positive initial energy that blow up in finite time.

  • https://doi.org/10.12941/jksiam.2012.16.4.235 인용 PDF KSCI